David,

Your s seems different from mine. Can you clarify?

   s=:'a';<'b';a:
   s ,&< S: 0 1 {:: s
+-+-----+
|a|+-+  |
| ||0|  |
| |+-+  |
+-+-----+
|b|+-+-+|
| ||1|0||
| |+-+-+|
+-+-----+
| |+-+-+|
| ||1|1||
| |+-+-+|
+-+-----+
   s
+-+----+
|a|+-++|
| ||b|||
| |+-++|
+-+----+
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